% LaTeX bibliography database for Dakota Users Manual
%
% - entries arranged in short cite order (XxxNN)
% - commented numbers preceding each entry indicate entry in old bibitem format
%   from v3.3 users manual
%
% $Id: Users.bib 6770 2010-05-08 00:10:50Z briadam $

@Book{abram_stegun,
  author =	 {Abramowitz, M. and Stegun, I.~A.},
  title = 	 {Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables},
  publisher = 	 {Dover},
  address =      {New York},
  year = 	 1965
}

%1
@Article{Ale98,
  author = {Alexandrov, M. and {Dennis, Jr.}, J.~E. and Lewis, R.~M. and Torczon, V.},
  title = {A Trust-region Framework for Managing the Use of Approximation Models in Optimization},
  journal = {Structural Optimization},
  volume = 15,
  year = 1998,
  pages = {16--23}
}

@InProceedings{Ale00,
  author = 	{Alexandrov, N.~M. and Lewis, R.~M. and Gumbert, C.~R. and Green, L.~L. and Newman, P.~A.},
  title = 	{Optimization with Variable-Fidelity Models Applied to Wing Design},
  booktitle =   {Proceedings of the 38th Aerospace Sciences Meeting and Exhibit},
  year = 	{2000},
  address = 	{Reno, NV},
  note = 	{AIAA Paper 2000-0841},
}

@Article{All04,
  author = 	 {Allen, M. and Maute, K.},
  title = 	 {Reliability-based Design Optimization of Aeroelastic Structures},
  journal = 	 {Struct. Multidiscip. O.},
  year = 	 2004,
  volume =	 27,
  pages =	 {228--242}
}

%2
@Book{And86,
  author = {Anderson, G. and Anderson, P.},
  title = {The UNIX C Shell Field Guide},
  publisher = {Prentice-Hall},
  address = {Englewood Cliffs, NJ},
  year = 1986
}

%3
@Book{Aro89,
  author = {Arora, J.~S.},
  title = {Introduction to Optimum Design},
  publisher = {McGraw-Hill},
  address = {New York},
  year = 1989
}

@InProceedings{askey,
  author = 	 {Askey, R. and Wilson, J.},
  title = 	 {Some Basic Hypergeometric Polynomials that Generalize Jacobi Polynomials},
  booktitle = 	 {Mem. Amer. Math. Soc. 319},
  organization = {AMS},
  year =	 1985,
  address =	 {Providence, RI}
}

@conference{Aug07,
	Address = {Detroit, MI},
	Author = {Aughenbaugh, J.~M. and Paredis, C.~J.~J.},
	Number = {SAE-2007-01-1480},
	Organization = {SAE},
	booktitle = {SAE World Congress and Exposition},
	Title = {Probability Bounds Analysis as a General Approach to Sensitivity Analysis in Decision Making under Uncertainty},
	Year = {2007}
}

@techreport{AuLeTr09a,
  Author      = {C. Audet and S. {Le~Digabel} and C. Tribes},
  Title       = {{NOMAD} user guide},
  Institution = {Les cahiers du GERAD},
  Number      = {G-2009-37},
  Url         = {http://www.gerad.ca/NOMAD/Downloads/user_guide.pdf},
  Year        = {2009}
}


%4
@PhdThesis{Bar01a,
  author = {Bartlett, R.},
  title = {Object-Oriented Approaches to Large-Scale NonLinear Programming For Process Systems Engineering},
  school = {Carnegie Mellon University},
  address = {Pittsburgh, PA},
  year =  2001
}

%5
@Article{Bar01b,
  author = {Bartlett, R.~A. and Biegler, L.~T.},
  title = {{rSQP++}: An Object-Oriented Framework for Successive Quadratic Programming},
  journal = {Large-Scale PDE-Constrained Optimization, Springer-Verlag Lecture Notes in Computational Science and Engineering},
  volume = 30,
  year = 2003,
  pages = {316--330}
}

@Article{BerTref04,
  author = {Berrut, J.-P. and Trefethen, L.~N.},
  title = {Barycentric Lagrange Interpolation},
  journal = {SIAM Review},
  volume = {46},
  number = 3,
  year = 2004,
  pages = {501--517}
}

@Article{Bic07,
  author = {Bichon, B.~J. and Eldred, M.~S. and Swiler, L.~P. and Mahadevan, S. and McFarland, J.~M.},
  title = {Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions},
  journal = {AIAA Journal},
  volume = {46},
  number = 10,
  year = 2008,
  pages = {2459--2468}
}

%6
@PhdThesis{Bir00,
  author = {Biros, G.},
  title = {Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization},
  school = {Carnegie Mellon University},
  address = {Pittsburgh, PA},
  year =  2000
}

%7
@Book{Bli96,
  author = {Blinn, B.},
  title = {Portable Shell Programming: An Extensive Collection of Bourne Shell Examples},
  publisher = {Prentice Hall PTR},
  address = {New Jersey},
  year = 1996
}

@Article{Box64,
  author = {Box, G.~E.~P. and Cox, D.~R.},
  title = {An Analysis of Transformations},
  journal = {J. Royal Stat. Soc., Series B},
  volume = 26,
  year = 1964,
  pages = {211--252}
}

@Article{Bre84,
  author = {Breitung, K.},
  title = {Asymptotic approximation for multinormal integrals},
  journal = {J. Eng. Mech., ASCE},
  volume = 110,
  number = 3,
  year = 1984,
  pages = {357--366}
}

@TechReport{Burk09,
  author = {Burkardt, J.},
  title = {The ``Combining Coefficient'' for Anisotropic Sparse Grids},
  institution =  {Virginia Tech},
  year = 	 2009,
  address =	 {Blacksburg, VA},
  note = {\url{http://people.sc.fsu.edu/~jburkardt/presentations/sgmga_coefficient.pdf}}
}
% number =       {},

@Article{Byr88,
  author = {Byrd, R.~H. and Schnabel, R.~B. and Schultz, G.~A.},
  title = {Parallel Quasi-Newton Methods for Unconstrained Optimization},
  journal = {Mathematical Programming},
  volume = 42,
  year = 1988,
  pages = {273--306}
}

@InCollection{Cel85,
  author = 	{M.~R. Celis and J.~.E. Dennis and R.~.A Tapia},
  title = 	{A Trust Region Strategy for Nonlinear Equality Constrained Optimization},
  booktitle = 	{Numerical Optimization 1984},
  pages = 	{71--82},
  publisher =   {SIAM},
  year = 	{1985},
  editor = 	{P.~.T. Boggs and R.~H. Byrd and R.~B. Schnabel},
  address = 	{Philadelphia, USA},
}

%9
@Article{Cha93,
  author = {Chang, K.~J. and Haftka, R.~T. and Giles, G.~L. and Kao, P.-J.},
  title = {Sensitivity-based scaling for approximating structural response},
  journal = {J. Aircraft},
  volume = 30,
  year = 1993,
  pages = {283--288}
}

@Article{Che83,
  author = {Chen, X. and Lind, N.C.},
  title = {Fast Probability Integration by Three-Parameter Normal Tail Approximation},
  journal = {Struct. Saf.},
  volume = 1,
  year = 1983,
  pages = {269--276}
}

%75
@Book{Coe02,
  author = {Coello, C.~A. and Van Veldhuizen, D.~A. and Lamont, G.~B.},
  title = {Evolutionary Algorithms for Solving Multi-Objective Problems},
  publisher = {Kluwer Academic/Plenum Publishers},
  address = {New York},
  year = 2002
}

@Book{Con00,
  author = 	{Conn, A.~R. and Gould, N.~I.~M. and Toint, P.~L.},
  title = 	{Trust-Region Methods},
  publisher = 	{{MPS-SIAM} Series on Optimization, {SIAM-MPS}},
  year = 	{2000},
  address = 	{Philadelphia},
}

@Article{ConstTPQ,
  author = 	 {Constantine, P.~G. and Gleich, D.~F. and Iaccarino, G.},
  title = 	 {Spectral Methods for Parameterized Matrix Equations},
  journal = 	 {SIAM Journal on Matrix Analysis and Applications},
  volume = 	 {31},
  number =       {5},
  year =         {2010},
  pages =	 {2681--2699}
}

@Article{ConstSSG,
  author = 	 {Constantine, P.~G. and Eldred, M.~S.},
  title = 	 {Sparse Polynomial Chaos Expansions},
  journal = 	 {International Journal for Uncertainty Quantification},
  volume = 	 {in preparation}
}

%10
@Book{Cop92,
  author = {Coplien, J.~O.},
  title = {Advanced C++ Programming Styles and Idioms},
  publisher = {Addison-Wesley},
  address = {Reading, MA},
  year= 1992
}

%11
@Book{Cre91,
  author = {Cressie, N.},
  title = {Statistics of Spatial Data},
  publisher = {John Wiley and Sons},
  address = {New York},
  year = 1991
}

@article{Dalbey2012,
  title={{Gaussian Process Adaptive Importance Sampling}},
  author={K. Dalbey and L.P. Swiler},
  journal={International Journal for Uncertainty Quantification, submitted},
  year={2012},
}
 

%12
@InProceedings{Den94a,
  author = {Dennis, J.~E. and Lewis, R.~M.},
  title = {Problem Formulations and Other Optimization Issues in Multidisciplinary Optimization},
  booktitle = {Proc. AIAA Symposium on Fluid Dynamics},
  year = 1994,
  month = {June},
  address = {Colorado Springs, Colordao},
  number = {AIAA-94-2196},
}

%13
@InProceedings{Den94b,
  author = {Dennis, J.~E. and Torczon, V.~J.},
  title = {Derivative-Free Pattern Search Methods for Multidisciplinary Design Problems},
  number = {AIAA-94-4349},
  booktitle = {Proc. 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Panama City, FL},
  month = {September 7--9},
  year = 1994,
  pages = {922--932}
}

@article{Den81,
   author = {Dennis, J.~E. and Gay, D.~M. and Welsch, R.~E.},
   title = {{ALGORITHM} 573:  {NL2SOL}--An Adaptive Nonlinear Least-Squares Algorithm},
   journal = {ACM Trans. Math. Software},
   volume = {7},
   pages = {369--383},
   year = {1981}
}

%14
@Article{Der86,
  author = {Der Kiureghian, A. and Liu, P.~L.},
  title = {Structural Reliability Under Incomplete Information},
  journal = {J. Eng. Mech., ASCE},
  volume = 112,
  number = {EM-1},
  year = 1986,
  pages = {85--104}
}

@Article{Dey98,
  author = {Dey, A. and Mahadevan, S.},
  title = {Ductile Structural System Reliability Analysis using Adaptive Importance Sampling},
  journal = {Structural Safety},
  volume = 20,
  year = 1998,
  pages = {137--154}
}

@Article{Du04,
  author = 	 {Du, X. and Chen, W.},
  title = 	 {Sequential Optimization and Reliability Assessment Method for Efficient
Probabilistic Design},
  journal = 	 {J. Mech. Design},
  year = 	 2004,
  volume =	 126,
  pages =	 {225--233}
}

%73
@Article{Du99,
  author = {Du, Q. and Faber, V. and Gunzburger, M.},
  title = {Centroidal Voronoi Tessellations: Applications and Algorithms},
  journal = {SIAM Review},
  volume = 41,
  year = 1999,
  pages = {637--676}
}

%15
@InProceedings{Eck97,
  author = {Eckstein, J. and Hart, W.~E. and Phillips, C.~A.},
  title = {Resource management in a parallel mixed integer programming package},
  booktitle = {Proc. 1997 Intel Supercomputer Users Group Conference},
  address = {Albuquerque, NM},
  year = 1997,
  month = {June 11--13},
  note =  {\url{http://www.cs.sandia.gov/ISUG97/program.html}}
}

%16
@InCollection{Eck01,
  author = {Eckstein, J. and Hart, W.~E. and Phillips, C.~A.},
  title = {{PICO}: An object-oriented framework for parallel branch and bound},
  booktitle = {Inherently Parallel Algorithms in Feasibility and Optimization and their Applications},
  editor = {Butnariu, D. and Censor, Y. and Reich, S.},
  publisher = {Elsevier Science Publishers},
  address = {Amsterdam, Netherlands},
  year = 2001
}

@Misc{Eclipse,
  title = {Eclipse.org home},
  howpublished = {http://www.eclipse.org/},
  note = {Last accessed: July 6, 2009}
}

%24
@InProceedings{Eld96a,
  author = {Eldred, M.~S. and Hart, W.~E. and Bohnhoff, W.~J. and Romero,
  V.~J. and Hutchinson, S.~A. and Salinger, A.~G.},
  title = {Utilizing Object-Oriented Design to Build Advanced Optimization Strategies with Generic Implementation},
  number = {AIAA-96-4164},
  booktitle = {Proc. 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Bellevue, WA},
  month = {September 4--6},
  year = 1996,
  pages = {1568--1582}
}

%25
@Article{Eld96b,
  author = {Eldred, M.~S. and Outka, D.~E. and Bohnhoff, W.~J. and
  Witkowski, W.~R. and Romero, V.~J. and Ponslet, E.~R. and Chen, K.~S.},
  title = {Optimization of Complex Mechanics Simulations with Object-Oriented Software Design},
  journal = {Computer Modeling and Simulation in Engineering},
  volume  = 1,
  number = 3,
  month = {August},
  year = 1996
}

%21
@InProceedings{Eld98a,
  author = {Eldred, M.~S. and Hart, W.~E.},
  title = {Design and Implementation of Multilevel Parallel Optimization on the {Intel TeraFLOPS}},
  number = {AIAA-98-4707},
  booktitle = {Proc. 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {St. Louis, MO},
  month = {September 2--4},
  year = 1998,
  pages = {44--54}
}

%23
@TechReport{Eld98b,
  author = {Eldred, M.~S.},
  title = {Optimization Strategies for Complex Engineering Applications},
  institution =  {Sandia National Laboratories},
  number =       {SAND98-0340},
  year = 	 1998,
  address =	 {Albuquerque, NM}
}

%20
@InProceedings{Eld99,
  author = {Eldred, M.~S. and Schimel, B.~D.},
  title = {Extended Parallelism Models for Optimization on Massively Parallel Computers},
  booktitle = {Proc. 3rd World Congress of Structural and Multidisciplinary Optimization (WCSMO-3)},
  number = {16-POM-2},
  address = {Amherst, NY},
  month = {May 17--21},
  year = 1999
}

%22
@InProceedings{Eld00,
  author = {Eldred, M.~S. and Hart, W.~E. and Schimel, B.~D. and {van
  Bloemen Waanders}, B.~G.},
  title = {Multilevel Parallelism for Optimization on {MP} Computers: Theory and Experiment},
  number = {AIAA-2000-4818},
  booktitle = {Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Long Beach, CA},
  year = 2000
}

%19
@InProceedings{Eld02,
  author = 	 {Eldred, M.~S. and Giunta, A.~A. and {Wojtkiewicz Jr.}, S.~F. and Trucano, T.~G.},
  title = 	 {Formulations for Surrogate-Based Optimization Under Uncertainty},
  booktitle = 	 {Proc. 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  year =	 2002,
  month =        {September 4--6,},
  number =       {AIAA-2002-5585},
  address =	 {Atlanta, GA}
}

@InProceedings{Eld04,
  author = 		 {Eldred, M.~S. and Giunta, A.~A. and Collis, S.~S.},
  title = 		 {Second-Order Corrections for Surrogate-Based Optimization with Model Hierarchies},
  booktitle =    {Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},
  year = 	     {2004},
  address = 	 {Albany, NY,},
  month = 	     {Aug. 30--Sept. 1,},
  note = 	     {AIAA Paper 2004-4457},
}

@Article{Eld05,
  author = {Eldred, M.~S. and Agarwal, H. and Perez, V.~M. and Wojtkiewicz, S.~F., Jr. and Renaud, J.~E.},
  title = {Investigation of Reliability Method Formulations in DAKOTA/UQ},
  journal = {Structure \& Infrastructure Engineering: Maintenance, Management, Life-Cycle Design \& Performance},
  volume = 3,
  number = 3,
  year = 2007,
  pages = {199--213}
}

@InProceedings{Eld06a,
  author = 	 {Eldred, M.~S. and Bichon, B.~J.},
  title = 	 {Second-Order Reliability Formulations in {DAKOTA/UQ}},
  booktitle = 	 {Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference},
  year =	 2006,
  month =        {May~1--4},
  number =       {AIAA-2006-1828},
  address =	 {Newport,~RI}
}

@InProceedings{Eld06b,
  author = 	 {Eldred, M.~S. and Dunlavy, D.~M.},
  title = 	 {Formulations for Surrogate-Based Optimization with Data Fit, Multifidelity, and Reduced-Order Models},
  booktitle = 	 {Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},
  year =	 2006,
  month =        {September~6--8},
  number =       {AIAA-2006-7117},
  address =	 {Portsmouth,~VA}
}

%Article{Eld06,
%  author = {Eldred, M.~S. and Bichon, B.~J.},
%  title = {New Second-Order Formulations for Reliability Analysis and Design},
%  journal = {AIAA J.}, 
%  volume = in preparation,
%  number = ,
%  year = ,
%  pages = {--}
%}
% number =       {AIAA-2006-1828},

@InProceedings{Eld07,
  author = 	 {Eldred, M.~S. and Webster, C.~G. and Constantine, P.},
  title = 	 {Evaluation of Non-Intrusive Approaches for Wiener-Askey 
Generalized Polynomial Chaos},
  booktitle = 	 {Proceedings of the 10th AIAA Non-Deterministic Approaches Conference},
  year =	 2008,
  month =        {April~7--10},
  number =       {AIAA-2008-1892},
  address =	 {Schaumburg,~IL}
}

@InProceedings{Eld09a,
  author = 	 {Eldred, M.~S. and Burkardt, J.},
  title = 	 {Comparison of Non-Intrusive Polynomial Chaos and Stochastic 
Collocation Methods for Uncertainty Quantification},
  booktitle = 	 {Proceedings of the 47th AIAA Aerospace Sciences Meeting and Exhibit},
  year =	 2009,
  month =        {January 5--8,},
  number =       {AIAA-2009-0976},
  address =	 {Orlando, FL}
}


@TechReport{Eld09b,
  author = {Eldred, M.~S and Swiler, L.~P.},
  title = {Efficient Algorithms for Mixed Aleatory-Epistemic Uncertainty Quantification with Application to Radiation-Hardened Electronics.  Part 1:  Algorithms and Benchmark Results},
  institution = {Sandia National Laboratories},
  number = {SAND2009-5805},
  year = {2009},
  address = {Albuquerque, NM}
}

@Article{Eld11,
  author = {Eldred, M.~S. and Swiler, L.~P. and Tang, G},
  title = {Mixed Aleatory-Epistemic Uncertainty Quantification with Stochastic Expansions and Optimization-Based Interval Estimation},
  journal = {Reliability Engineering and System Safety},
  year =         2011,
  volume =	 96,
  number =       9,
  pages =	 {1092--1113}
}

@string{DakotaAuthorCitation =  
"Adams, B.~M. and Bauman, L.~E. and Bohnhoff, W.~J. and Dalbey,
K.~R. and Eddy, J.~P. and Ebeida, M.~S. and Eldred, M.~S. and Hough,
P.~D. and Hu, K.~T. and Jakeman, J.~D. and Swiler, L.~P. and Vigil,
D.~M."
}

%17
@TechReport{RefMan,
  author = 	 DakotaAuthorCitation,
  title = 	 {Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 5.4 Reference Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2010-2184},
  year = 	 {Updated Jan. 2013},
  address =	 {Albuquerque, NM},
  note =         {Available online from \url{http://dakota.sandia.gov/documentation.html}}
}

%18
@TechReport{DevMan,
  author = 	 DakotaAuthorCitation,
  title = 	 {Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 5.4 Developers Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2010-2185},
  year = 	 {Updated Jan. 2013},
  address =	 {Albuquerque, NM},
  note =         {Available online from \url{http://dakota.sandia.gov/documentation.html}}
}

@TechReport{TheoMan,
  author = 	 DakotaAuthorCitation,
  title = 	 {Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 5.4 Theory Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2011-9106},
  year = 	 {Updated Jan. 2013},
  address =	 {Albuquerque, NM},
  note =         {Available online from \url{http://dakota.sandia.gov/documentation.html}}
}

@Article{Fad90,
  author = {Fadel, G.~M. and Riley, M.~F. and Barthelemy, J.-F.~M.},
  title = {Two Point Exponential Approximation Method for Structural Optimization},
  journal = {Structural Optimization},
  volume = 2,
  number = 2,
  year = 1990,
  pages = {117--124}
}

@Article{Fer06,
  author = 	 {Ferson, S. and Tucker, W.~T.},
  title =        {Sensitivity Analysis using Probability Bounding},  
  journal = 	 {Reliability Engineering and System Safety},
  year = 	 2006,
  volume =	 91,
  pages =	 {1435--1442}
}

%26
@Unpublished{Fla,
  author = {Flaggs, D.},
  title = {{JPrePost} User's Manual},
  note = {In preparation}
}

@Article{Fle02,
  author = 	{Fletcher, R. and Leyffer, S. and Toint, P.~L.},
  title = 	{On the Global Convergence of a Filter-{SQP} Algorithm},
  journal = 	{SIAM J. Optim.},
  year = 	{2002},
  volume = 	{13},
  number = 	{1},
  pages = 	{44--59},
}

@Book{Fou03,
  author = {Fourer, R. and Gay, D.~M. and Kernighan, B.~W.},
  title = {AMPL: A Modeling Language for Mathematical Programming, 2nd ed.},
  publisher = {Duxbury Press/Brooks/Cole Publishing Co.},
  address = {Pacific Grove, CA},
  year = 2003,
  note = {For small examples, e.g., at most 300 variables, a student version of AMPL
suffices; see \texttt{http://www.ampl.com/DOWNLOADS}.}
}

%27
@Article{Fri91,
  author = {Friedman, J.~H.},
  title = {Multivariate Adaptive Regression Splines},
  journal = {Annals of Statistics},
  volume = 19,
  number = 1,
  month = {March},
  year = 1991,
  pages = {1--141}
}

@misc{Fu05,
  author = {Fukuda, K.},
  title = {cddlib Reference Manual},
  howpublished = {Web site},
  year = {2005},
  note = {\url{ftp://ftp.ifor.math.ethz.ch/pub/fukuda/cdd/cddlibman/cddlibman.html}}
}

@TechReport{Gab01,
  author = {Gablonsky, J.},
  title = {DIRECT version 2.0 Userguide Technical Report},
  institution =  {North Carolina State University, Center for Research in Scientific Computation},
  number =       {CRSC-TR01-08},
  year = 	 2001,
  address =	 {Raleigh, NC}
}

%28
@Book{Gam95,
  author = {Gamma, E. and Helm, R. and Johnson, R. and Vlissides, J.},
  title = {Design Patterns: Elements of Reusable Object-Oriented  Software},
  publisher = {Addison-Wesley},
  address = {Reading, MA},
  year = 1995
}

@Book{gautschi_book,
  author =	 {Gautschi, W.},
  title = 	 {Orthogonal Polynomials: Computation and Approximation},
  publisher = 	 {Oxford University Press},
  address =      {New York},
  year = 	 2004
}

@TechReport{Gay97,
  author = 	 {Gay, D.~M.},
  title = 	 {Hooking Your Solver to {AMPL}},
  institution =  {Bell Laboratories},
  number =       {Technical Report 97-4-06},
  year = 	 1997,
  address =	 {Murray Hill, NJ},
  note =	{Available online as \url{http://www.ampl.com/REFS/HOOKING/index.html}
and \url{http://www.ampl.com/REFS/hooking2.pdf} .}
}

@Article {Gerstner_Griebel_2003,
    AUTHOR = {Gerstner, T. and Griebel, M.},
     TITLE = {Dimension-adaptive tensor-product quadrature},
   JOURNAL = {Computing},
  FJOURNAL = {Computing. Archives for Scientific Computing},
    VOLUME = 71,
      YEAR = 2003,
    NUMBER = 1,
     PAGES = {65--87},
      ISSN = {0010-485X},
     CODEN = {CMPTA2},
   MRCLASS = {65D30},
  MRNUMBER = {MR2009651 (2004k:65036)},
MRREVIEWER = {Marc Prevost},
}

%30
@Book{Gha91,
  author = {Ghanem, R.~G. and Spanos, P.~D.},
  title = {Stochastic Finite Elements: A Spectral Approach},
  publisher = {Springer-Verlag},
  address = {New York},
  year = 1991
}

%29
@Article{Gha99,
  author = {Ghanem, R. and Red-Horse, J.~R.},
  title = {Propagation of Probabilistic Uncertainty in Complex Physical Systems using a Stochastic Finite Element Technique},
  journal = {Physica D},
  volume = 133,
  year = 1999,
  pages = {137-144}
}

%32
@Book{Gil81,
  author = {Gill, P.~E. and Murray, W. and Wright, M.~H.},
  title = {Practical Optimization},
  publisher = {Academic Press},
  address = {San Diego, CA},
  year = 1981
}

%31
@TechReport{Gil86,
  author = {Gill, P.~E. and Murray, W. and Saunders, M.~A. and Wright, M.~H.},
  title = {User's Guide for {NPSOL (Version 4.0)}: A {Fortran} Package for Nonlinear Programming},
  institution = {System Optimization Laboratory, Stanford University},
  number = {TR SOL-86-2},
  address = {Stanford, CA},
  year = 1986
}

%33
@Book{Gil92,
  author = {Gilly, D.},
  title = {{UNIX} in a Nutshell},
  publisher = {O'Reilly and Associates, Inc.},
  address = {Sebastopol, CA},
  year = 1992
}


@Book{Gilks,
        Author = {Gilks, W.R. and Richardson, S. and Spiegelhalter, D.J.},
        Publisher = {Chapman \& Hall},
        Title = {Markov chain Monte Carlo in practice},
        Year = {1998}
}

@incollection {Ginsbourger,
   author = {Ginsbourger, David and Riche, Rodolphe and Carraro, Laurent},
   title = {Kriging Is Well-Suited to Parallelize Optimization},
   booktitle = {Computational Intelligence in Expensive Optimization Problems},
   series = {Adaptation, Learning, and Optimization},
   editor = {Tenne, Yoel and Goh, Chi-Keong},
   publisher = {Springer Berlin Heidelberg},
   isbn = {978-3-642-10701-6},
   keyword = {Engineering},
   pages = {131-162},
   volume = {2},
   url = {http://dx.doi.org/10.1007/978-3-642-10701-6_6},
   doi = {10.1007/978-3-642-10701-6_6},
   year = {2010}
}

%36
@InProceedings{Giu98,
  author = {Giunta, A.~A. and Watson, L.~T.},
  title = {A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models},
  number = {AIAA-98-4758},
  booktitle = {Proc. 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {St. Louis, MO},
  year = 1998,
  pages = {392--404}
}

%35
@InProceedings{Giu00,
  author = 	 {Giunta, A.~A. and Eldred, M.~S.},
  title = 	 {Implementation of a Trust Region Model Management Strategy in the {DAKOTA} Optimization Toolkit},
  booktitle = 	 {Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  year =	 2000,
  month =        {September 6--8,},
  number =       {AIAA-2000-4935},
  address =	 {Long Beach, CA}
}

%34
@InProceedings{Giu02,
  author = {Giunta, A.~A.},
  title = {Use of Data Sampling, Surrogate Models, and Numerical Optimization in Engineering Design},
  number = {AIAA-2002-0538},
  booktitle = {Proc. 40th AIAA Aerospace Science Meeting and Exhibit},
  address = {Reno, NV},
  month = {January},
  year = 2002
}

@article{Giu06,
  author = {Giunta, A.~A. and McFarland, J.~M. and Swiler, L.~P. and Eldred, M.~S.},
  title = {The Promise and Peril of Uncertainty Quantification using Respone Surface Approximations},
  journal = {Structure and Infrastructure Engineering},
  month = {September-December},
  year = {2006},
  volume = {2},
  number = {3-4},
  pages = {175-189}
}

%37
@Book{Gol89,
  author = {Goldberg, D.~E.},
  title = {Genetic Algorithms in Search, Optimization, and Machine Learning},
  publisher = {Addison-Wessley Publishing Co., Inc.},
  address = {Reading, MA},
  year = 1989
}

@Article{GolubWelsch69,
  author = 	 {Golub, G.~H.. and Welsch, J.~H.},
  title = 	 {Caclulation of Gauss Quadrature Rules},
  journal = 	 {Mathematics of Computation},
  year = 	 1969,
  volume =	 23,
  number =       106,
  pages =	 {221--230}
}

@Article{GoNg99,
  author = 	 {Goodman, I.~R. and Nguyen, H.~T.},
  title =        {Probability Updating using Second Order Probabilities and Conditional Event Algebra},  
  journal = 	 {Information Sciences},
  year = 	 1999,
  volume =	 121,
  pages =	 {295--347}
}

@article{GrKo06,
  author = {Gray, G.~A. and Kolda, T.~G.},
  title = {Algorithm 856: {APPSPACK} 4.0: Asynchronous Parallel
                  Pattern Search for Derivative-Free Optimization},
  journal = {ACM Transactions on Mathematical Software},
  month = {September},
  year = {2006},
  volume = {32},
  number = {3},
  pages = {485--507}
}

@TechReport{GrKo07,
  author = {Griffin, J.~D and Kolda, T.~G.},
  title = {Nonlinearly-Constrained Optimization Using Asynchronous
                  Parallel Generating Set Search},
  institution = {Sandia National Laboratories},
  number = {SAND2007-3257},
  year = {2007},
  address = {Livermore, CA}
}

@article{GrKoLe08,
  author = {Griffin, J.~D. and Kolda, T.~G. and Lewis, R.~M.},
  title = {Asynchronous Parallel Generating Set Search For
                  Linearly-Constrained Optimization},
  journal = {SIAM Journal on Scientific Computing},
  month = {May},
  year = {2008},
  volume = {30},
  number = {4},
  pages = {1892--1924}
}

%39
@Book{Gro94,
  author = {Gropp, W. and Lusk, E. and Skjellum, A.},
  title = {Using {MPI}, Portable Parallel Programing with the Message-Passing Interface},
  publisher = {The MIT Press},
  address = {Cambridge, MA},
  year = 1994
}

%38
@TechReport{Gro96,
  author = {Gropp, W. and Lusk, E.},
  title = {User's Guide for mpich, a Portable Implementation of {MPI}},
  institution = {Argonne National Laboratory, Mathematics and Computer Science Division},
  number = {ANL/MCS-TM-ANL-96/6},
  year = 1996
}

@Article{Haario,
        Author = {Haario, Heikki and Laine, Marko and Mira, Antonietta and Saksman, Eero},
        Journal = {Statistics and Computing},
        Pages = {339-354},
        Publisher = {Springer Netherlands},
        Title = {DRAM: Efficient adaptive MCMC},
        Url = {http://dx.doi.org/10.1007/s11222-006-9438-0},
        Volume = {16},
        Year = {2006}
}
%40
@Book{Haf92,
  author = {Haftka, R.~T. and Gurdal, Z.},
  title = {Elements of Structural Optimization},
  publisher = {Kluwer},
  address = {Boston},
  year = 1992
}

%41
@Book{Hal00,
  author =	 {Haldar, A. and Mahadevan, S.},
  title = 	 {Probability, Reliability, and Statistical Methods in Engineering Design},
  publisher = 	 {Wiley},
  address =      {New York},
  year = 	 2000
}

%42
%TechReport{Har06,
%  author = {Hart, W.~E.},
%  title = {Coliny Users Manual: {Version 2.0}},
%  institution =  {Sandia National Laboratories},
%  number =       {SAND2006-xxxx},
%  year = 	 2006,
%  address =	 {Albuquerque, NM},
%  note = {Available online from \url{http://software.sandia.gov/Acro/Coliny/}}
%}
@misc{Har06,
  author = {Hart, W.~E.},
  title = {The Coliny Project},
  howpublished = {Web site},
  year = 2007,
  note = {\url{http://software.sandia.gov/Acro/Coliny/}}
}

@Book{Hed99,
  author = {Hedayat, A.~S. and Sloane, N.~J.~A. and Stufken, J.},
  title = {Orthogonal Arrays:  Theory and Applications},
  publisher = 	 {Springer-Verlag},
  address =      {New York},
  year = 	 1999
}


%43
@TechReport{Hel00,
  author = {Helton, J.~C. and Davis, F.~J.},
  title = {Sampling-Based Methods for Uncertainty and Sensitivity Analysis},
  institution =  {Sandia National Laboratories},
  number =       {SAND99-2240},
  year = 	 2000,
  address =	 {Albuquerque, NM}
}

@Article{Hel07,
  author = {Helton, J.~C. and Johnson, J.~D. and Oberkampf, W.~L. and Storlie, C.~B},
  title = {A Sampling-based Computational Strategy for the Representation of Epistemic Uncertainty in Model Predictions with Evidence Theory},
  journal = {Comp. Methods in Applied Mechanics and Engineering},
  volume = 196,
  year = 2007,
  pages = {3980-3998}
}

@Article{Hig08,
  author = 	 {Higdon, D. and Gattiker, J. and Williams, B. and Rightley, M.},
  title = 	 {Computer Model Calibration Using High-Dimensional Output},
  journal = 	 {Journal of the American Statistical Association},
  year = 	 2008,
  volume =	 103,
  number =       482,
  pages =	 {570--583}}
}

@Article{Higham04,
  author = 	 {Higham, N.~J.},
  title = 	 {The numerical stability of barycentric Lagrange interpolation},
  journal = 	 {IMA Journal of Numerical Analysis},
  year = 	 2004,
  volume =	 24,
  number =       4,
  pages =	 {547--556}}
}

@Article{Hoh88,
  author = {Hohenbichler, M. and Rackwitz, R.},
  title = {Improvement of second-order reliability estimates by importance sampling},
  journal = {J. Eng. Mech., ASCE},
  volume = 114,
  number = 12,
  year = 1988,
  pages = {2195--2199}
}

@Article{Hoh86,
  author = 	 {Hohenbichler, M. and Rackwitz, R.},
  title = 	 {Sensitivity and Importance Measures in Structural Reliability},
  journal = 	 {Civil Eng. Syst.},
  year = 	 1986,
  volume =	 3,
  pages =	 {203--209}
}

@Article{Hon99,
  author = {Hong, H.P.},
  title = {Simple Approximations for Improving Second-Order Reliability Estimates},
  journal = {J. Eng. Mech., ASCE},
  volume = 125,
  number = 5,
  year = 1999,
  pages = {592--595}
}

@InProceedings{pt_colloc2,
  author = 	 {Hosder, S. and Walters, R.~W. and Balch, M.},
  title = 	 {Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables},
  booktitle = 	 {Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  year =	 2007,
  month =        {April 23--26,},
  number =       {AIAA-2007-1939},
  address =	 {Honolulu, HI}
}

%44
@Article{Hua06,
  author = 	 {Huang, D. and Allen, T.~T. and Notz, W.~I. and Zeng, N.},
  title = 	 {Global Optimization of Stochastic Black-Box Systems via Sequential Kriging Meta-Models}, 
  journal = 	 {Journal of Global Optimization},
  year = 	 2006,
  volume =	 34,
  pages =	 {441--466}
}

%45
@TechReport{Ima84,
  author = {Iman, R.~L. and Shortencarier, M.~J},
  title = {A {Fortran 77} Program and User's Guide for the Generation of Latin Hypercube Samples for Use with Computer Models},
  institution =  {Sandia National Laboratories},
  number =       {NUREG/CR-3624, SAND83-2365},
  year = 	 1984,
  address =	 {Albuquerque, NM}
}

@Book{Jaynes,
        Address = {Cambridge, UK; New York, NY},
        Author = {Jaynes, E. T. and Bretthorst, G. Larry.},
        Publisher = {Cambridge University Press},
        Title = {Probability theory : the logic of science},
        Year = {2003}
}

@Article{Jon98,
  author = 	 {Jones, D. and Schonlau, M. and Welch, W.},
  title = 	 {Efficient Global Optimization of Expensive Black-Box Functions},
  journal = 	 {Journal of Global Optimization},
  year = 	 1998,
  volume =	 13,
  pages =	 {455--492}
}

@Article{Kar92,
  author = 	 {Karamchandani, A. and Cornell, C.~A.},
  title = 	 {Sensitivity Estimation within First and Second Order Reliability Methods},
  journal = 	 {Struct. Saf.},
  year = 	 1992,
  volume =	 11,
  pages =	 {95--107}
}

@Article{KaKiVeAj09,
  author = 	 {Karanki, D.~R. and Kishwaha, H.~S. and Verma, A.~K. and Ajit, S.},
  title = 	 {Uncertainty Analysis based on Probability Bounds (p-box) Approach in Probabilistic Safety Assessment},
  journal = 	 {Risk Analysis},
  year = 	 2009,
  volume =	 29,
  pages =	 {662--675}
}


@Article{Kenn01,
  author = 	 {Kennedy, M.~C. and O'Hagan, A.},
  title = 	 {Bayesian Calibration of Computer Models},
  journal = 	 {Journal of the Royal Statistical Society},
  year = 	 2001,
  volume =	 63,
  pages =	 {425--464}
}

%46
@Book{Ker88,
  author = {Kernighan, B.~W. and Ritchie, D.~M.},
  title = {The C Programming Language},
  edition = {2nd},
  publisher = {Prentice Hall PTR},
  address = {Englewood Cliffs, NJ},
  year = 1988
}

@PhdThesis{Klimke05,
  author = {Klimke, W.~A.},
  title = {Uncertainty Modeling using Fuzzy Arithmetic and Sparse Grids},
  school = {Universit\"{a}t Stuttgart},
  address = {Stuttgart, Germany},
  year =  2005
}

%47
@InCollection{Koe96,
  author = {Koehler, J.~R. and Owen, A.~B.},
  title= {Computer Experiments},
  volume = 13,
  booktitle = {Handbook of Statistics},
  editor = {Ghosh, S. and Rao, C.~R.},
  publisher = {Elsevier Science},
  address = {New York},
  year = 1996
}

@Article{Kus97,
  author = {Kuschel, N. and Rackwitz, R.},
  title = {Two Basic Problems in Reliability-Based Structural Optimization},
  journal = {Math. Method Oper. Res.},
  volume = 46,
  year = 1997,
  pages = {309--333}
}

@Article{Lat00,
  author = 	{Lathauwer, L.~D. and Moor, B.~D. and Vandewalle, J.},
  title = 	{A Multilinear Singular Value Decomposition},
  journal = 	{SIAM Journal on Matrix Analysis and Applications},
  year = 	{2000},
  volume = 	{21},
  number = 	{4},
  pages = 	{1253--1278},
}

@Book{Law74,
  author = 	{Lawson, C.~L. and Hanson, R.~J.},
  title = 	{Solving Least Squares Problems},
  publisher = 	{Prentice--Hall},
  year = 	{1974},
  OPTaddress = 	 {},
}

@article{Le2011a,
  Author   = {S. {Le~Digabel}},
  Title    = {Algorithm 909: {NOMAD}:
              Nonlinear Optimization with the {MADS} algorithm},
  Journal  = {{ACM} Transactions on Mathematical Software},
  Volume   = {37},
  Number   = {4},
  Pages    = {1--15},
  Year     = {2011}
}
@article{herbiefunc,
  title={{Optimization Subject to Hidden Constraints via Statistical Emulation}},
  author={Lee, H. and Gramacy, R. and Linkletter, C. and Gray, G.},
  journal={Pacific Journal of Optimization},
  year={to appear},

}

%48
@TechReport{Lew00,
  author = {Lewis, R.~M. and Nash, S.~N.},
  title = {A Multigrid Approach to the Optimization of Systems Governed by Differential Equations},
  institution = {AIAA},
  number = {AIAA-2000-4890},
  year = 2000
}

 
@article{MacKay,
    author = {David J.C. MacKay},
    title = {Information-Based Objective Functions for Active Data Selection},
    journal = {Neural Computation},
    year = {},
    volume = {4},
    pages = {590--604}
}

@article{Maljovec,
    author  = {Maljovec, Daniel P. and Wang, Bei and Kupresanin, Ana and Johannesson, Gardar and Pascucci, Valerio and Bremer, Peer-Timo},
    title   = {Adaptive Sampling with Topological Scores},
    journal = {International Journal for Uncertainty Quantification},
    issn    = {2152-5080},
    year    = {2012},
    volume  = {1},
    number  = {1},
}

@Book{Mar03,
  author = {Martelli, A.},
  title = {Python in a Nutshell},
  publisher = {O'Reilly and Associates},
  address = {Cambridge, MA},
  year = 2003,
}

@PhdThesis{McF08,
  author = 	{J.~M. McFarland},
  title = {Uncertainty Analysis for Computer Simulations through Validation and Calibration},	
  school = 	{Vanderbilt University},
  year = 	{2008},
  address = 	{Nashville, Tennesssee},
  note = {available for download at http://etd.library.vanderbilt.edu/ETD-db/available/etd-03282008-125137/}
}

%49
@Article{Mck79,
  author = {McKay, M.~D. and Beckman, R.~J. and Conover, W.~J.},
  title = {A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code},
  journal = {Technometrics},
  volume = 21,
  number = 2,
  year = 1979,
  pages = {239--245}
}

%50
@Article{MeOlHoWi07,
  author = {Meza, J.~C. and Oliva, R.~A. and Hough, P.~D. and Williams, P.~J.},
  title = {{OPT++:} An Object Oriented Toolkit for Nonlinear Optimization},
  journal = {ACM Transactions on Mathematical Software},
  volume = {33},
  number = {2},
  year = {2007}
}

%51
@TechReport{Mez95,
  author = {Meza, J.~C. and Plantenga, T.~D.},
  title = {Optimal Control of a CVD Reactor for Prescribed Temperature Behavior},
  number = {SAND95-8224},
  institution = {Sandia National Laboratories},
  address = {Livermore, CA},
  year = 1995
}

%52
@TechReport{Moe95,
  author = {Moen, C.~D. and Spence, P.~A. and Meza, J.~C},
  title = {Optimal Heat Transfer Design of Chemical Vapor Deposition Reactors},
  number = {SAND95-8223},
  institution = {Sandia National Laboratories},
  address = {Livermore, CA},
  year = 1995
}

%53
@InProceedings{Moe96,
  author = {Moen, C.~D. and Spence, P.~A. and Meza, J.~C. and Plantenga, T.~D.},
  title = {Automatic Differentiation for Gradient-Based Optimization of Radiatively Heated Microelectronics Manufacturing Equipment},
  number = {AIAA-96-4118},
  booktitle = {Proc. 6th  AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Bellevue, WA},
  year = 1996,
  pages = {1167--1175}
}.

@Article{Mor91,
  author = {Morris, M.~D.},
  title = {Factorial sampling plans for preliminary computational experiments},
  journal = {Technometrics},
  volume = 33,
  number = 2,
  year = 1991,
  pages = {161--174}
}

%54
@Book{Mye95,
  author = {Myers, R.~H. and Montgomery, D.~C.},
  title = {Response Surface Methodology: Process and Product Optimization Using Designed  Experiments},
  publisher = {John Wiley \& Sons, Inc.},
  address = {New York},
  year = 1995
}

@book{NAS08,
        author = {{National Research Council of the National Academies}},
	Address = {Washington D.C.},
	Publisher = {National Academy Press},
	Title = {Evaluation of Quantification of Margins and Uncertainties Methodology for Assessing and Certifying the Reliability of the Nuclear Stockpile},
	Year = {2008}}

@misc{Nomad,
  Author       = {M.A. Abramson and C. Audet and G. Couture
                 and J.E. {Dennis, Jr.} and S. {Le~Digabel} and C. Tribes},
  Title        = {The {NOMAD} project},
  Howpublished = {Software available at
                  \url{http://www.gerad.ca/nomad}},
  Url          = {http://www.gerad.ca/nomad},
}

@TechReport{Plantenga2009,
  author = 	 {Plantenga, T.~D.},
  title = 	 {HOPSPACK 2.0 User Manual},
  institution =  {Sandia National Laboratories},
  number =       {SAND2009-6265},
  year = 	 2009
}

@TechReport{webster1,
  author = 	 {Nobile, F. and Tempone, R. and Webster, C.~G.},
  title = 	 {A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data},
  institution =  {Royal Institute of Technology},
  number =       {Technical report TRITA-NA 2007:7},
  year = 	 2007,
  address =	 {Stockholm, Sweden},
}

@Article{webster2,
  author = {Nobile, F. and Tempone, R. and Webster, C.~G.},
  title = {An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data},
  journal = {SIAM J. on Num. Anal.},
  volume = 46,
  number = 5,
  year = 2008,
  pages = {2411--2442}
}

@article{gerstner_griebel_98,
	AUTHOR = {Gerstner, T. and Griebel, M.},
	FJOURNAL = {Numerical Algorithms},
	ISSN = {1017-1398},
	JOURNAL = {Numer. Algorithms},
	MRCLASS = {65D30},
 	MRNUMBER = {MR1669959 (99m:65042)},
	MRREVIEWER = {C. Dagnino},
	NUMBER = {3-4},
	PAGES = {209--232},
         TITLE = {Numerical integration using sparse grids},
  	VOLUME = {18},
   	YEAR = {1998}}

@article{was_woz,
	Author = {G. W. Wasilkowski and H. Wo\'zniakowski},
	Date-Added = {2006-03-23 10:09:10 -0500},
	Date-Modified = {2006-03-23 10:14:37 -0500},
	Journal = {Journal of Complexity},
	Local-Url = {file://localhost/Users/webster/Documents/phd_research/papers_talks/smolyak_papers/wasilkowski_93.pdf},
	Pages = {1-56},
	Title = {Explicit Cost Bounds of Algorithms for Multivariate Tensor Product Problems},
	Volume = {11},
	Year = {1995}}

@article{barth_novak_ritter_00,
	Author = {Barthelmann, V. and Novak, E. and Ritter, K.},
	Fjournal = {Advances in Computational Mathematics},
	Issn = {1019-7168},
	Journal = {Adv. Comput. Math.},
	Mrclass = {41A63 (41A05 65D05)},
	Mrnumber = {MR1768951 (2001d:41033)},
	Mrreviewer = {Timothy S. Norfolk},
	Note = {Multivariate polynomial interpolation},
	Number = 4,
	Pages = {273--288},
	Title = {High dimensional polynomial interpolation on sparse grids},
	Volume = 12,
	Year = 2000}

@Article{Smolyak_63,
  author = 	 {Smolyak, S.A.},
  title = 	 {Quadrature and interpolation formulas for tensor products of certain classes of functions},
  journal = 	 {Dokl. Akad. Nauk SSSR},
  year = 	 1963,
  volume =	 4,
  pages =	 {240--243}
}

@article{Fran_Schwab_Todor_04,
	Author = {Frauenfelder, P. and Schwab, C. and Todor, R. A.},
	Coden = {CMMECC},
	Fjournal = {Computer Methods in Applied Mechanics and Engineering},
	Issn = {0045-7825},
	Journal = {Comput. Methods Appl. Mech. Engrg.},
	Mrclass = {65N30 (60H15 60H35)},
	Mrnumber = {MR2105161 (2005i:65186)},
	Number = {2-5},
	Pages = {205--228},
	Title = {Finite elements for elliptic problems with stochastic coefficients},
	Volume = {194},
	Year = {2005}}

@article {Xiu_Hesthaven_05,
    AUTHOR = {Xiu, D. and Hesthaven, J.S.},
     TITLE = {High-order collocation methods for differential equations with
              random inputs},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = 27,
      YEAR = 2005,
    NUMBER = 3,
     PAGES = {1118--1139 (electronic)},
      ISSN = {1064-8275},
   MRCLASS = {65C30},
  MRNUMBER = {MR2199923 (2006i:65010)},
}

@TechReport{Nea04,
  author = 	{Nealen, A.},
  title = 	{A Short-As-Possible Introduction to the Least Squares, Weighted Least Squares, and Moving Least Squares Methods for Scattered Data Approximation and Interpolation},
  institution = {Discrete Geometric Modeling Group, Technishe Universitaet},
  address = {Berlin, Germany},
  year = 	{2004}
}

%55
@Book{Noc99,
  author = {Nocedal, J. and Wright S.~J.},
  title = {Numerical Optimization},
  series = {Springer Series in Operations Research},
  publisher = {Springer},
  address = {New York},
  year = 1999
}

%561
@TechReport{Obe03,
  author = {Oberkampf, W.~.L. and Helton, J.~C.},
  title = {Evidence Theory for Engineering Applications},
  number = {SAND2003-3559P},
  institution = {Sandia National Laboratories},
  address = {Albuquerque, NM},
  year = 2003
}

@PhdThesis{Omo89,
  author = 	{E.~O. Omojokun},
  title = 	{Trust Region Algorithms for Optimization with Nonlinear Equality and Inequality Constraints},
  school = 	{University of Colorado},
  year = 	{1989},
  address = 	{Boulder, Colorado},
}

@TechReport{Orr96,
  author = {Orr, M.~J.~L.},
  title = {Introduction to Radial Basis Function Networks},
  institution = {University of Edinburgh},
  address = {Edinburgh, Scotland},
  year = 1996
}

@Article{Owe92,
  author = 	{Owen, A.~B.},
  title = 	{Orthogonal Arrays for Computer Experiments, Integration, and Visualization},
  journal = 	{Statistica Sinica},
  year = 	{1992},
  volume = 	{2},
  number = 	{2},
  pages = 	{439-452},
}

@InProceedings{Per02,
  author = 	{P\'erez, V.~M. and Renaud, J.~E. and Watson, L.~T.},
  title = 	{Reduced Sampling for Construction of Quadratic Response Surface Approximations Using Adaptive Experimental Design},
  booktitle =   {Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures,
Sttural Dynamics, and Materials Conference},
  year = 	{2002},
  address = 	{Denver, CO},
  month = 	{April 22-25,},
  note = 	{AIAA Paper 2002-1587},
}

@Article{Per04a,
  author = 	{P\'erez, V.~M. and Renaud, J.~E. and Watson, L.~T.},
  title = 	{An Interior-Point Sequetial Approximation Optimization Methodology},
  journal = 	{Structural and Multidisciplinary Optimization},
  year = 	{2004},
  volume = 	{27},
  number = 	{5},
  pages = 	{360--370},
  month = 	{July},
}

@InProceedings{Per04b,
  author = 	{P\'erez, V.~M. and Eldred, M.~S. and and Renaud, J.~E.},
  title = 	{Solving the Infeasible Trust-Region Problem Using Approximations},
  booktitle = 	{Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},
  year = 	{2004},
  address = 	{Albany, NY},
  month = 	{Aug. 30--Sept. 1,},
  note = 	{AIAA Paper 2004-4312},
}

%56
@Article{Per93,
  author = {Perttunen, C.~D. and Jones, D.~R. and Stuckman, B.~E.},
  title = {Lipschitzian optimization without the {Lipschitz} constant},
  journal = {J. Optimization Theory and Application},
  volume = 79,
  number = 1,
  pages = {157--181},
  year = 1993
}

%57
@InProceedings{Pon96,
  author = {Ponslet, E.~R. and Eldred, M.~S.},
  title = {Discrete Optimization of Isolator Locations for Vibration Isolation Systems: an Analytical and Experimental Investigation},
  number = {AIAA-96-4178},
  booktitle = {Proc. 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization},
  address = {Bellevue, WA},
  month = {September 4--6},
  year = 1996,
  pages = {1703--1716},
  note = {Also appears as Sandia Technical Report SAND96-1169, May 1996}
}

@Article{Rac02,
  author = 	 {Rackwitz, R.},
  title = 	 {Optimization and Risk Acceptability Based on the {L}ife {Q}uality {I}ndex},
  journal = 	 {Struct. Saf},
  year = 	 2002,
  volume =	 24,
  pages =	 {297--331}
}

@Article{Rac78,
  author = {Rackwitz, R. and Fiessler, B.},
  title = {Structural Reliability under Combined Random Load Sequences},
  journal = {Comput. Struct.},
  volume = 9,
  year = 1978,
  pages = {489--494}
}

@Article{reagan_sens,
  author = 	 {Reagan, M.~T. and Najm, H.~N. and Pebay, P.~P. and Knio, O.~M. and Ghanem, R.~G.},
  title = 	 {Quantifying Uncertainty in Chemical Systems Modeling},
  journal = 	 {Int. J. Chem. Kinet.},
  year = 	 2005,
  volume =	 37,
  pages =	 {368--382}
}

%58
@InProceedings{Red98,
  author = {Red-Horse, J.~R. and Paez, T.~L.},
  title = {Uncertainty Evaluation in Dynamic System Response},
  booktitle = {Proc. 16th International Modal Analysis Conference},
  address = {Santa Barbara, CA},
  month = {February},
  year = 1998,
  pages = {1206--1212}
}

@InProceedings{Rob06a,
  author = 	{Robinson, T.~D. and Eldred, M.~S. and Willcox, K.~E. and Haimes, R.},
  title = 	{Strategies for Multifidelity Optimization with Variable Dimensional Hierarchical Models},
  booktitle =   {Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (2nd AIAA Multidisciplinary Design Optimization Specialist Conference)},
  year = 	{2006},
  address = 	{Newport, RI},
  month = 	{May 1--4,},
  note = 	{AIAA Paper 2006-1819},
}

@InProceedings{Rob06b,
  author = 	{Robinson, T.~D. and Willcox, K.~E. and Eldred, M.~S. and Haimes, R.},
  title = 	{Multifidelity Optimization for Variable-Complexity Design},
  booktitle =   {Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference},
  year = 	{2006},
  address = 	{Portsmouth,~VA},
  month = 	{September~6--8,},
  note = 	{AIAA Paper 2006-7114},
}

@Article{Rod98,
  author = 	{Rodriguez, J.~F. and Renaud, J.~E. and Watson, L.~T.},
  title = 	{Convergence of Trust Region Augmented Lagrangian Methods Using Variable Fidelity Approximation Data},
  journal = 	{Structural Optimization},
  year = 	{1998},
  volume = 	{15},
  pages = 	{1--7},
}

%59
@Article{Ros52,
  author = {Rosenblatt, M.},
  title = {Remarks on a Multivariate Transformation},
  journal = {Annals of Mathematical Statistics},
  volume = 23,
  number = 3,
  year = 1952,
  pages = {470--472}
}

%74
@Book{Sal04,
  author = {Saltelli, A. and Tarantola, S. and Campolongo,F. and Ratto,M.},
  title = {Sensitivity Analysis in Practice: A Guide to Assessing
  Scientific Models.},
  publisher = {John Wiley \& Sons},
  year = 2004,
}

% may need number
@TechReport{Sch04,
  author = {Schittkowski, K.},
  title = {{NLPQLP}: A Fortran Implementation of a Sequential Quadratic Programming Algorithm with Distributed and Non-Monotone Line Search -- User's Guide},
  institution =  {Department of Mathematics, University of Bayreuth},
  year = 	 2004,
  address =	 {Bayreuth, Germany},
}

@Book{Sch87,
  author = {Schittkowski, K.},
  title = {More Test Examples for Nonlinear Programming, Lecture Notes in Economics and Mathematical Systems, Vol. 282},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = 1987,
}

%60
@TechReport{Sch95,
  author = {Schunk, P.~R. and Sackinger, P.~A. and Rao, R.~R. and Chen, K.~S. and Cairncross, R.~A.},
  title = {{GOMA} -- A Full-Newton Finite Element Program for Free and Moving Boundary Problems with Coupled Fluid/Solid Momentum, Energy, Mass, and Chemical Species  Transport: User's Guide},
  institution =  {Sandia National Laboratories},
  number =       {SAND95-2937},
  year = 	 1995,
  address =	 {Albuquerque, NM},
}

@Book{Seb03,
  author = {Seber, G.~A.~F. and Wild, C.~J.},
  title = {Nonlinear Regression},
  publisher = {Wiley},
  address = {New Jersey},
  year = 2003
}

@InProceedings{Seo,
    author = {Sambu Seo and Marko Wallat and Thore Graepel and Klaus Obermayer},
    title = {Gaussian Process Regression: Active Data Selection and Test Point Rejection},
    booktitle = {In Proceedings of the International Joint Conference on Neural Networks (IJCNN},
    year = {2000},
    pages = {241--246},
    publisher = {IEEE}
}

@Article{simpson_gw,
  author = 	 {Simpson, I.C.},
  title = 	 {Numerical Integration over a Semi-Infinite Interval, Using the Lognormal Distibution},
  journal = 	 {Numerische Mathematik},
  year = 	 1978,
  volume =	 31,
  pages =	 {71--76}
}
%number =      #,


%61
@TechReport{Sja92,
  author = {Sjaardema, G.~D.},
  title = {{APREPRO}: An Algebraic Preprocessor for Parameterizing Finite Element Analyses},
  institution =  {Sandia National Laboratories},
  number =       {SAND92-2291},
  year = 	 1992,
  address =	 {Albuquerque, NM},
}

%62
@Book{Sni96,
  author = {Snir, M. and Otto, S. and Huss-Lederman, S. and Walker, D. and Dongarra, J.},
  title = {MPI: The Complete Reference},
  publisher = {MIT Press},
  address = {Cambridge, MA},
  year = 1996
}

@Book{Srinivasan2002,
  title={{Importance Sampling}},
  author={Srinivasan, R.},
  year={2002},
  publisher={Springer-Verlag}
}
 

@Book{stroud,
  author =	 {Stroud, A.},
  title = 	 {Approximate Calculation of Multiple Integrals},
  publisher = 	 {Prentice Hall},
  year = 	 1971
}
%  address =      {New York},


%63
@InProceedings{Sue01,
  author = {Sues, R. and Aminpour, M. and Shin, Y.},
  title = {Reliability-Based Multidisciplinary Optimization for Aerospace Systems},
  number = {AIAA-2001-1521},
  booktitle = {Proc. 42rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  address = {Seattle, WA},
  month = {April 16-19},
  year = 2001
}

%71
@TechReport{Swi04,
  author = {Swiler, L.~P. and Wyss, G.~D.},
  title = {A User's Guide to {Sandia's} Latin Hypercube Sampling Software: {LHS UNIX} Library and Standalone Version},
  institution = {Sandia National Laboratories},
  number = {SAND04-2439},
  address = {Albuquerque, NM},
  month = {July},
  year = 2004
}

@InProceedings{Swi06,
  author = {Swiler, L.~P and Slepoy, R. and Giunta, A.~A.},
  title = {Evaluation of Sampling Methods in Constructing Response Surface Approximations},
  number = {AIAA-2006-1827},
  booktitle = {Proc. 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  address = {Newport, RI},
  month = {May 1-4},
  year = 2006
}

@InProceedings{Swiler2010,
  title={Importance sampling: Promises and limitations},
  author={Swiler, L.P. and West, N.J.},
  booktitle={Proceedings of the 12th AIAA Non-Deterministic Approaches Conference},
  year={2010}
}

@InProceedings{Tang10a,
  author = 	{Tang, G. and Swiler, L.~P. and Eldred, M.~S},
  title = 	{Using Stochastic Expansion Methods in Evidence Theory for Mixed Aleatory-Epistemic Uncertainty Quantification},
  booktitle =   {Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (12th AIAA Non-Deterministic Approaches conference)},
  year = 	{2010},
  address = 	{Orlando, FL},
  month = 	{April 12-15,},
  note = 	{AIAA Paper 2010-XXXX},
}

@InProceedings{Tang10b,
  author = 	{Tang, G. and Iaccarino, G. and Eldred, M.~S},
  title = 	{Global Sensitivity Analysis for Stochastic Collocation Expansion},
  booktitle =   {Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (12th AIAA Non-Deterministic Approaches conference)},
  year = 	{2010},
  address = 	{Orlando, FL},
  month = 	{April 12-15,},
  note = 	{AIAA Paper 2010-XXXX},
}

@phdthesis{Tat95,
	Author = {Tatang, M.A.},
	School = {MIT},
	Title = {Direct incorporation of uncertainty in chemical and environmental engineering systems},
	Year = 1995}

%64
@TechReport{TonXX,
  author = {Tong, C.~H. and Meza, J.~C.},
  title = {{DDACE}: A Distributed Object-Oriented Software with Multiple Samplings for the Design and Analysis of Computer Experiments},
  number = {SAND\#\#-XXXX},
  institution = {Sandia National Laboratories},
  address = {Livermore, CA},
  note = {Draft as yet unpublished, see also \url{http://csmr.ca.sandia.gov/projects/ddace/DDACEdoc/html/index.html}}
}

@misc{Ton05,
  author = {Tong, C.~H.},
  title = {The PSUADE Software Library},
  howpublished = {Web site},
  year = 2005,
  note = {\url{http://www.llnl.gov/CASC/uncertainty\_quantification/\#psuade}}
}

@Article{Tu99,
  author = {Tu, J. and Choi, K.~K. and Park, Y.~H.},
  title = {A New Study on Reliability-Based Design Optimization},
  journal = {J. Mech. Design},
  volume = 121,
  year = 1999,
  pages = {557--564}
}

@Article{Tve90,
  author = {Tvedt, L.},
  title = {Distribution of Quadratic Forms in Normal Space -- Applications to Structural Reliability},
  journal = {J. Eng. Mech., ASCE},
  volume = 116,
  number = 6,
  year = 1990,
  pages = {1183--1197}
}

%65
@TechReport{Van78,
  author = {Vanderplaats, G.~N.},
  title = {{CONMIN} -- A {FORTRAN} Program for Constrained Function Minimization},
  institution = {NASA},
  number = {TM X-62282},
  year = 1973,
  note = {See also Addendum to Technical Memorandum, 1978}
}

%66
@Book{Van84,
  author = {Vanderplaats, G.~N.},
  title = {Numerical Optimization Techniques for Engineering Design: With Applications},
  publisher = {McGraw-Hill},
  address = {New York},
  year = 1984
}

%67
@Manual{Van95,
  title = {{DOT} Users Manual, {Version 4.20}},
  organization = {Vanderplaats Research and Development, Inc.},
  address = {Colorado Springs, CO},
  year = 1995
}

@Article{Vrugt,
  author = {Vrugt, J.~A. and ter Braak, C.~J.~F. and
Diks, C.~G.~H. and Robinson, B.~A. and Hyman, J.~M. and Higdon, D.},
  title = {Accelerating Markov chain Monte Carlo simulation by self-adaptive
differential evolution with randomized subspace sampling},
  journal = {International Journal of Nonlinear Scientific Numerical Simulation},
  year = 2009, 
  volume = 10, 
  number = 3
}

@Article{Vug07,
  author = {Vugrin, K.~W. and Swiler, L.~P. and Roberts, R.~M. and Stuckey-Mack, N.~J. and Sullivan, S.~P},
  title = {Confidence Region Estimation Techniques for Nonlinear Regression in Groundwater Flow:  Three Case Studies},
  journal = {Water Resources Research},
  year = 2007,
  volume = 43,	
}

%68
@Book{Wal96,
  author = {Wall, L. and Christiansen, T. and Schwartz, R.~L.},
  title = {Programming Perl},
  edition = {2nd},
  publisher = {O'Reilly \& Associates},
  address = {Cambridge},
  year = 1996
}

@InProceedings{pt_colloc1,
  author = 	 {Walters, R.~W.},
  title = 	 {Towards Stochastic Fluid Mechanics via Polynomial Chaos},
  booktitle = 	 {Proceedings of the 41st AIAA Aerospace Sciences Meeting and Exhibit},
  year =	 2003,
  month =        {January 6--9,},
  number =       {AIAA-2003-0413},
  address =	 {Reno, NV}
}

%69
@Misc{WalXX,
  author = {Walton, B.},
  title = {{BPREPRO} preprocessor documentation},
  howpublished = {Online document \url{http://bwalton.com/bprepro.html}}
}

@InProceedings{Wei06,
  author = 		 {Weickum, G. and Eldred, M.~S. and Maute, K.},
  title = 		 {Multi-point Extended Reduced Order Modeling For Design Optimization and Uncertainty Analysis},
  booktitle =    {Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (2nd AIAA Multidisciplinary Design Optimization Specialist Conference)},
  year = 	     {2006},
  address = 	 {Newport, RI},
  month = 	     {May 1--4,},
  note = 	     {AIAA Paper 2006-2145},
}

@Article{Weirs10,
  author = 	 {Weirs, V.~G. and Kamm, J.~R. and Swiler, L.~P. and Ratto, M. and Tarantola, S. and Adams, B.~M. and Rider, W.~J. and Eldred, M.~S},
  title = 	 {Sensitivity Analysis Techniques Applied to a System of Hyperbolic Conservation Laws},
  journal = 	 {Reliability Engineering and System Safety},
  volume =       107, 
  pages =        {157--170},
  year =         2012
}

@Article{wiener,
  author = 	 {Wiener, N.},
  title = 	 {The Homogoeneous Chaos},
  journal = 	 {Amer. J. Math.},
  year = 	 1938,
  volume =	 60,
  pages =	 {897--936}
}

@InProceedings{WillBijl06,
  author = 	 {Witteveen, J.~A.~S. and Bijl, H.},
  title = 	 {Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos},
  booktitle = 	 {Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit},
  year =	 2006,
  month =        {January 9--12},
  number =       {AIAA-2006-0896},
  address =	 {Reno, NV}
}

%70
@InProceedings{Wu01,
  author = {Wu, Y.-T. and Shin, Y. and Sues, R. and Cesare, M.},
  title = {Safety-Factor Based Approach for Probability-Based Design Optimization},
  number = {AIAA-2001-1522},
  booktitle = {Proc. 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference},
  address = {Seattle, WA},
  month = {April 16--19},
  year = 2001
}

@Article{Wu87,
  author = {Wu, Y.-T. and Wirsching, P.H.},
  title = {A new algorithm for structural reliability estimation},
  journal = {J. Eng. Mech., ASCE},
  volume = 113,
  year = 1987,
  pages = {1319--1336}
}

@Article{Wuj98a,
  author = 	{Wujek, B.~A. and Renaud, J.~E.},
  title = 	{New Adaptive Move-Limit Management Strategy for Approximate Optimization, Part 1},
  journal = 	{AIAA Journal},
  year = 	{1998},
  volume = 	{36},
  number = 	{10},
  pages = 	{1911--1921},
}

@Article{Wuj98b,
  author = 	{Wujek, B.~A. and Renaud, J.~E.},
  title = 	{New Adaptive Move-Limit Management Strategy for Approximate Optimization, Part 2},
  journal = 	{AIAA Journal},
  year = 	{1998},
  volume = 	{36},
  number = 	{10},
  pages = 	{1922--1934},
}

@Article{xiu_cubature,
  author = 	 {Xiu, D.},
  title = 	 {Numerical integration formulas of degree two},
  journal = 	 {Applied Numerical Mathematics},
  volume = 	 {58},
  year =	 2008,
  pages =	 {1515--1520}
}

@Article{XiuKarn02,
  author = 	 {Xiu, D. and Karniadakis, G.~M.},
  title = 	 {The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations},
  journal = 	 {SIAM J. Sci. Comput.},
  year = 	 2002,
  volume =	 24,
  number =       2,
  pages =	 {619--644}
}

@Article{Xu98,
  author = {Xu, S. and Grandhi, R.~V.},
  title = {Effective Two-Point Function Approximation for Design Optimization},
  journal = {AIAA J.},
  volume = 36,
  number = 12,
  year = 1998,
  pages = {2269--2275}
}

%72
@Misc{Zim96,
  author = {Zimmerman, D.~C.},
  title = {Genetic Algorithms for Navigating Expensive and Complex Design Spaces},
  year = 1996,
  month = "September",
  note = {Final Report for Sandia National Laboratories contract AO-7736 CA 02}
}

@InProceedings{Zou04,
  author = 	 {Zou, T. and Mahadevan, S. and Rebba, R.},
  title = 	 {Computational Efficiency in Reliability-Based Optimization},
  booktitle = 	 {Proceedings of the 9th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability},
  year =	 2004,
  month =        {July 26--28,},
  address =      {Albuquerque, NM}
}

@article{GilMS05,
	author={Philip E. Gill and Walter Murray and Michael A. Saunders},
	title ={{SNOPT}: An {SQP} Algorithm for Large-Scale Constrained Optimization},
	journal = {SIAM Review},
	volume = {47},
	pages = {99--131},
	year = {2005},
	number = {1}
}

@article{Rosenbrock60,
	author = {H. H. Rosenbrock},
	title = {An Automatic Method for Finding the Greatest or Least Value of a Function},
	journal = {Computer Journal},
	volume = {3},
	pages = {175--184},
	year = {1960}
}
